Question

Equivalent Expressions. Help?

Answer 1

You already asked this question: http://openstudy.com/users/shaleiah#/updates/55415b47e4b05c587d02ad4b

Just use exponent rule: \[\large \dfrac{a^m}{a^n} = a^{m-n}\]

For example: \(\large \dfrac{s^{12}}{s^7} = s^{12-7} = s^5\)

Answer 2

Can you use exponent rule here? @shaleiah

Answer 3

No.

Answer 4

Why not? What part are you struggling with?

Answer 5

Never heard of the exponent rule. Do I add all the exponents and then use the rule?

Answer 6

Really, what did you learn other than exponent rule?

To apply exponent rule, you just subtract exponent from numerator by exponent from denominator.

Again for example: \(\dfrac{b^5}{b^3} = b^{5-3} = b^2\) See what I did with exponents, right?

Answer 7

\[\frac{ 64p^4 }{ 112p^8}=b^8-4=b^4\]

Answer 8

Actually \(\dfrac{p^4}{p^8}=p^{4-8}\)

Answer 9

\[\cdots=p^{-4} = \dfrac{1}{p^4}\]

Answer 10

Because exponent in numerator is smaller than exponent in denominator. does that make sense?

Answer 11

yes

Answer 12

Ok, so you simplified exponent for variable p;\[ \dfrac{64}{112}\cdot\dfrac{p^4}{p^8}\cdot\dfrac{q^6}{q^2}\cdot\dfrac{r^4}{r^{12}} ~~=~~ \dfrac{64}{112}\cdot\dfrac{1}{p^4}\cdot\dfrac{q^6}{q^2}\cdot\dfrac{r^4}{r^{12}}\]
Now use that rule on variable q.

Answer 13

What is \(\dfrac{q^6}{q^2}\)?

Answer 14

\[\frac{ q^6 }{ q^2 }=q ^{6-2}\]

Answer 15

\[q=4\]

Answer 16

\(q^4\)

Answer 17

Yeah

Answer 18

Do you understand how to use exponent rule now?

Answer 19

yes, thank you.